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First, a new algorithm for efficient detection of collisions, using the signed distance field, is described. Next, the penalty method is applied to determine the contact load of bone on facial soft tissue. Finally, a non\u2010linear finite mixed element model is developed to estimate the tissue deformation induced by the prescribed bone remodelling plan.<\/jats:p><\/jats:sec><jats:sec><jats:title>Results<\/jats:title><jats:p>The performance of the proposed collision detection algorithm has been improved in memory requirements and computational efficiency compared with conventional methods. In addition, the methodology is evaluated over both synthetic and real data, with simulation performance averaging &lt;0.5 mm pointwise error over the facial surface in six mid\u2010face distraction osteotogenesis procedures.<\/jats:p><\/jats:sec><jats:sec><jats:title>Conclusions<\/jats:title><jats:p>The experimental results support the novel methodological advancements in collision detection and biomechanical modelling proposed in this work. 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